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Simplifying (x + -6)(8x + -3) = 0 Reorder the terms: (-6 + x)(8x + -3) = 0 Reorder the terms: (-6 + x)(-3 + 8x) = 0 Multiply (-6 + x) * (-3 + 8x) (-6(-3 + 8x) + x(-3 + 8x)) = 0 ((-3 * -6 + 8x * -6) + x(-3 + 8x)) = 0 ((18 + -48x) + x(-3 + 8x)) = 0 (18 + -48x + (-3 * x + 8x * x)) = 0 (18 + -48x + (-3x + 8x2)) = 0 Combine like terms: -48x + -3x = -51x (18 + -51x + 8x2) = 0 Solving 18 + -51x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(6 + -1x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.375, 6}
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